Here are some randomly selected joke topics beginning with the letter 'H'
Henry VIII
Which famous English King invented fractions?
Henry the 1/8th.
Hero
Who is Great Britain's data compression hero?
Jack the Zipper
Henry VIII
King Henry VIII went to heaven. St Peter said, 'Tell me, why did you have so many different wives?'
Henry said, 'I like to' chop and change.'
Hi
Knock, knock.
Who’s there?
Hi.
Hi who?
Hi, who are you?
Hens
What do you get when you cross a hen and a waiter?
A hen that lays tables.
Hiccups
What goes "quick, quick"?
A duck with the hiccups.
Hereditary
Insanity is hereditary - you get it from your children